The following information applies to the products of Stuart Company.     Product A   Product B   Selling price per unit $ 14   $ 12   Variable cost per unit   11     8     Identify the product that should be produced or sold under each of the following constraints. Consider each constraint separately. Required One unit of Product A requires 1 hour of labor to produce, and one unit of Product B requires 4 hours of labor to produce. Due to labor constraints, demand is higher than the company’s capacity to make both products. The products are sold to the public in retail stores. The company has limited floor space and cannot stock as many products as it would like. Display space is available for only one of the two products. Expected sales of Product A and Product B are 13,000 units and 12,000 units, respectively. The maximum number of machine hours available is 41,000. Product A uses 3 machine hours, and Product B uses 5 machine hours. The company can sell all the products it produces.

Essentials of Business Analytics (MindTap Course List)
2nd Edition
ISBN:9781305627734
Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Publisher:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Chapter13: Nonlinear Optimization Models
Section: Chapter Questions
Problem 4P: The profit function for two products is: Profit3x12+42x13x22+48x2+700, where x1 represents units of...
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The following information applies to the products of Stuart Company.

 

  Product A   Product B  
Selling price per unit $ 14   $ 12  
Variable cost per unit   11     8  
 


Identify the product that should be produced or sold under each of the following constraints. Consider each constraint separately.

Required

  1. One unit of Product A requires 1 hour of labor to produce, and one unit of Product B requires 4 hours of labor to produce. Due to labor constraints, demand is higher than the company’s capacity to make both products.

  2. The products are sold to the public in retail stores. The company has limited floor space and cannot stock as many products as it would like. Display space is available for only one of the two products. Expected sales of Product A and Product B are 13,000 units and 12,000 units, respectively.

  3. The maximum number of machine hours available is 41,000. Product A uses 3 machine hours, and Product B uses 5 machine hours. The company can sell all the products it produces.

 

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